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Finding the Third Proportional to 55,543 and 118,467

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Solution

The third proportional to 55,543 and 118,467 is: 252,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,543 : 118,467 = 118,467 : x
  2. Step 2: Convert to fraction form
    55,543/118,467 = 118,467/x
  3. Step 3: Cross multiply
    55,543x = 118,467 × 118,467
  4. Step 4: Simplify right side
    55,543x = 14,034,430,089
  5. Step 5: Solve for x
    x = 14,034,430,089/55,543
  6. Step 6: Final answer
    x = 252,676.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.